Hyperhamiltonian dynamics
classification
🧮 math-ph
math.DSmath.MP
keywords
dynamicshyperhamiltonianhamiltonianattractivecalldefineddiscussextension
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We introduce an extension of hamiltonian dynamics, defined on hyperkahler manifolds, which we call ``hyperhamiltonian dynamics''. We show that this has many of the attractive features of standard hamiltonian dynamics. We also discuss the prototypical integrable hyperhamiltonian systems, i.e. quaternionic oscillators.
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